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Simplifying 3x + 4x + -6 = 4x + -3x Reorder the terms: -6 + 3x + 4x = 4x + -3x Combine like terms: 3x + 4x = 7x -6 + 7x = 4x + -3x Combine like terms: 4x + -3x = 1x -6 + 7x = 1x Solving -6 + 7x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 7x + -1x = 1x + -1x Combine like terms: 7x + -1x = 6x -6 + 6x = 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 6x = 0 Add '6' to each side of the equation. -6 + 6 + 6x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 0 + 6 6x = 0 + 6 Combine like terms: 0 + 6 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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